{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c76c15a1-ac6d-4f50-a927-249b30f6f510",
   "metadata": {},
   "source": [
    "Chapter 12\n",
    "# 有向多图\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "8920bfb2-d4d9-4e3d-ac26-bc0598f745d5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import networkx as nx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f704c461-087a-420f-b725-cd231843c62e",
   "metadata": {},
   "outputs": [],
   "source": [
    "directed_G = nx.MultiDiGraph()\n",
    "# 创建有向图的实例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "753ab717-7b6f-4b92-b71b-06f0bf7f8994",
   "metadata": {},
   "outputs": [],
   "source": [
    "directed_G.add_nodes_from(['a', 'b', 'c', 'd'])\n",
    "# 添加多个顶点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "257ab9ed-ee70-485e-95f6-d24b4e1a29f3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 1, 1, 1, 1, 2, 0]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "directed_G.add_edges_from([('b','a'),\n",
    "                           ('a','b'),\n",
    "                           ('c','b'),\n",
    "                           ('b','d'), \n",
    "                           ('d','c'),\n",
    "                           ('a','c'),\n",
    "                           ('c','a')])\n",
    "# 增加一组有向边"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "4ac6be59-dfd3-4e1f-9267-62e916352302",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 人为设定节点位置\n",
    "nodePosDict = {'b':[0, 0], \n",
    "               'c':[1, 0], \n",
    "               'd':[1, 1],\n",
    "               'a':[0, 1]}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "58e90006-b332-4567-a1c2-6b8901269918",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "nx.draw_networkx(directed_G, \n",
    "                 pos = nodePosDict, \n",
    "                 arrowsize = 28,\n",
    "                 connectionstyle='arc3, rad = 0.1',\n",
    "                 node_size = 180)\n",
    "plt.savefig('G_D_4顶点_7边.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3858a946-9980-4604-9e08-33d82d29187e",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "eaa83dbc-c42c-4688-a780-10b9a0d9d3f0",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
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